Ethan left City W for City V at 06 30. Vanessa left City W for City C at the same time. At 11 30, they were 975 km apart. Both maintained a constant speed and reached their destination at the same time at 13 26.

1. Find the distance between Cities A and C.
2. If Vanessa was ⁷₈ the speed of Ethan, find Ethan's speed.

(a)
Time taken for Ethan and Vanessa to travel 06 30 to 11 30 = 5 h
Time taken for Ethan and Vanessa to travel 06 30 to 13 26 = 6 h 56 min = 6⁵⁶₆₀ h = 6¹⁴₁₅ h

Distance travelled by Ethan and Vanessa in 1 hour
= 975 ÷ 5
= 195 km

Total distance
= 6¹⁴₁₅ x 195
= 1352 km

(b)
Vanessa's distance : Ethan's distance
7 : 8

Vanessa's speed : Ethan's speed
7 : 8

15 u = 195 km
1 u = 195 ÷ 15 = 13 km

Ethan's speed
= 8 u
= 8 x 13
= 104 km/h

Answer(s): (a) 1352 km; (b) 104km/h